Suppose that xi and x2 are random samples of observations from a population with mean m and variance s2. Consider the following three point estimators, A,B,C, of m: *1 + x2 #1 + 3r2 æ1 + 2a2 2 3 a) Which of these estimators yields an unbiased estimator of m? Justify your answer. b) Of those that are unbiased, which is the most efficient? Justify your answer.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Suppose that xi and x2 are random samples of observations from a population with mean m and variance
s2. Consider the following three point estimators, A.B.C, of m:
*1 + x2
*1 + 3r2
*1 + 2x2
C =
A =
B =
2
3
a) Which of these estimators yields an unbiased estimator of m? Justify your answer.
b) Of those that are unbiased, which is the most efficient? Justify your answer.
Transcribed Image Text:Suppose that xi and x2 are random samples of observations from a population with mean m and variance s2. Consider the following three point estimators, A.B.C, of m: *1 + x2 *1 + 3r2 *1 + 2x2 C = A = B = 2 3 a) Which of these estimators yields an unbiased estimator of m? Justify your answer. b) Of those that are unbiased, which is the most efficient? Justify your answer.
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